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Simplifying 3(6x + -5) = 6(x + 4) + -3 Reorder the terms: 3(-5 + 6x) = 6(x + 4) + -3 (-5 * 3 + 6x * 3) = 6(x + 4) + -3 (-15 + 18x) = 6(x + 4) + -3 Reorder the terms: -15 + 18x = 6(4 + x) + -3 -15 + 18x = (4 * 6 + x * 6) + -3 -15 + 18x = (24 + 6x) + -3 Reorder the terms: -15 + 18x = 24 + -3 + 6x Combine like terms: 24 + -3 = 21 -15 + 18x = 21 + 6x Solving -15 + 18x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 18x + -6x = 21 + 6x + -6x Combine like terms: 18x + -6x = 12x -15 + 12x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 12x = 21 + 0 -15 + 12x = 21 Add '15' to each side of the equation. -15 + 15 + 12x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 21 + 15 12x = 21 + 15 Combine like terms: 21 + 15 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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